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The self-inductance of a choke coil is 10 mH. When it is connected to a 10 V d.c. source, the power loss is 20 W. When it is connected to a 10 V a.c. source, the power loss is 10 W. The frequency of the a.c. source is:

  1. 50 Hz
  2. 60 Hz
  3. 80 Hz
  4. 100 Hz

Correct answer: 80 Hz

Solution

From the d.c. case, the coil’s resistance is found using \(P=V^2/R\). Then the a.c. power gives the impedance relation involving \(\omega L\). Solving for \(\omega\) yields the frequency as 80 Hz.

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